HPSC PGT Exam , Syllabus , Application Form , Exam Date , Eligibility Criteria , Exam Pattern 2023

HPSC PGT Exam , Syllabus , Application Form , Exam Date , Eligibility Criteria , Exam Pattern 2023

Join the Group :



HPSC PGT Exam Application form Released Date  : 22 Nov 2022

Last Date for submission of the application form : 01 Jan 2023

Admit Card Release : Before the Exam Date 

Exam Date : To Be Notified

Conduct Agency : HPSC (Haryana Public Service Commission)

Exam Pattern : Offline (OMR)

Exam Type : MCQ 

Result : Notified Soon

Selection Process :

  • Screening Test
  • Subject Knowledge Test
  • Interview


HPSC PGT Exam Eligibility Criteria : –

The condinates who Qualify HPSC PGT Exam shall have to fullfill the following Eligibility Requirement for Application form.

  • The candidates must have Hindi or Sanskrit as one of the language in Matriculation or Higher or must have 10 + 2 / BA / MA with Hindi as one of the subjects.
  • They should also have qualified in the HTET ( Haryana Teacher Eligibility Test) or STET ( School Teacher Eligibility Test).
  • The candidates mut have passed Masters (M.A / M.Sc / M.Com , etc) in the concerned discipline with at least 50 % marks and B.Ed from a recognized university.
  • The candidates must also have a consistent good academic record.

Note :

  • Cnadidates who are applying for PGT Computer Science must have passed Masters with 55 % aggregate marks.
  • Candidates belonging to SC category and differently abled candidates will be entited to a relaxation upto 5 % in the qualifying marks.



  • The candidates who desire to Apply for the HPSC PGT Recruitment process must be Indian Citizens.
HPSC PGT Exam Age Limit & Relaxation :- 
  • Minimum Age : 18 Year 
  • Maximum Age : 42 Year.
  • Age Relaxation Extra as Per Rules of the Central Government.


Serial No. Category Age Relaxation
1 SC / ST / BC 5 Years 
2 Wife of military personnel who is disabled while in military service. 5 Years 
3 Windowed or legally divorceed women provided she has not remarried / Unmarried women. 5 Years 
4 Judicially separateed women residing separated for more than two Years from the date as Prescibed for the purpose of age for candidates of other categories. 5 Years 
HPSC PGT Exam Pattern 2023 :-

The exam pattern followed in the HPSC PGT Recruitment Exam is explained through the bullet points below. Make sure you know the details of the exam pattern before appearing for the exam. Also note that this is the exam pattern for both the rest of Haryana cadre and Mewat cadre.

Haryana PGT Exam Pattern for Group B Subjects 

The revised Exam Pattern for Group B subjects (Biology , Chemistry , Computer Science , English , Hindi , History , Mathematics , Physics , Political Science and Commerce ) is given below for the screening test and subject knowledge test.

Haryana PGT Exam Pattern for Group B Subject –

Screening Test  : Objective

The screening test will be an objective type exam which will only be qualifying in nature.

  • Education Psychology , Pedagogy , General Awareness , General Mental Ability , Comprehension , Logical Reasoning and Analytical Ability , Decision making and problem solving , Basic numeracy , Data interpretation and the questions related to History , Geography , Polity , Economy and culture of Haryana.
  • Minimum Qualify Mark 25%
  • Total 100 Question 
  • Each question carries 1 mark
  • Total 100 marks
  • Duration is 2 Hours .
  • There is 1/ 4 of negative marking.
  • Each question will have 5 options .
  • In case a candidate neither attempts a question nor darkens the fifth option / bubble, then 1 / 4 mark will be deducted each such question.
  • However, after the process of Challenges of the Answer Key, in case there are
    multiple correct options or change in key, only those candidates who have attempted
    it correctly as per the revised Answer key will be awarded marks.

Subject Knowledge Test : Descriptive

  • Weightage 87.5 %
  • Total 150 Question 
  • Each question carries 1 mark
  • Total 150 marks
  • Duration is 3 Hours .
  • Minimum 35 % Marks for Qualifying
  • There is 1/ 4 of negative marking.
  • Each question will have 5 options .
  • In case a candidate neither attempts a question nor darkens the fifth option / bubble, then 1 / 4 mark will be deducted each such question.

Interview :

  • Weightage 12.5 % 


Paper  Section Total Questions / Marks Total Time 
Screening Test  Education Psychology , Pedagogy , General Awareness , General Mental Ability , Comprehension , Logical Reasoning and Analytical Ability , Decision making and problem solving , Basic numeracy , Data interpretation and the questions related to History , Geography , Polity , Economy and culture of Haryana. 20 2 Hours 
Subject Concern 80
Subject Knowledge Test Concerned Subject  150 3 Hours 


HPSC PGT Exam Pattern Total Questions Total Marks Weightage Exam Type Minimum Qualifying Marks
Screening Test 100 100 Objective 25%
Subject Knowledge Test 150 150 87.5% Descriptive 35%
Interview 12.5%


5. Charts , Graph Sheets , Tables , Cellular Phone or Other Electronic Gadgets are NOT allowes in the examination hall.

HPSC PGT Exam Subject Wise Expected Cut Off 2023 : –

Knowing the cutoff helps candidates to know the minimum marks they must score to clear the written test and qualify the recruitment process. The HPSC PGT Exam cut-off 2023 will be released after the commencement of the examination till then have a look at the expected marks.

Category Expcted Cut Off Marks 
General 68
OBC 64
SC 56
ST 47
HPSC PGT Minimum Qualifying Marks 2023 
  • Screening Test : 0 % 
  • Subject Knowledge Test : 87.5 % 
  • Interview : 12.5 % 
HPSC PGT Exam Selection Process 2023 :- 

The selection of candidates for the post of PGT will comprise an interview. However , in case of a large number of applications received for the post , the Commission will adopt shortlisting criteria to limt the number of candidates to be called for the interview. The shortlisting criteria may include one or more of the following shortlisting criteria :

  • The percentage of marks of the candidates in the minimum educational qualification prescribed.
  • The percentage of marks of the candidates in different educational qualifications , with weightage as decided by the Commission.
  • The disirable qualifications or any one or all of desirable qualifications if more than one desirable qualification is prescribed.
  • Higher educational qualifications than the minimum / essential prescribed in the advertisement.
  • Higher experience in the relevant field than the minimum prescribed in the advertisement.
  • Experience before minimum / essential qualifications.
  • By Holding an Recruitment Test 


Serial No. Subject Name Weightage
1 Screening Test
2 Subject Knowledge Test 87.5 %
3 Interview  12.5 %
Salary :- 
  • HSSC TGT Teacher  Salary : 47600 Rs – 151100 Rs.
HPSC PGT Syllabus 2023 (Mathematics) : – 

The HPSC PGT Syllabus covers two Parts of the written examination.

Sets :-

Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers. Power set. Universal set. Venn diagrams. Union and Intersection of sets, Difference of sets, Complement of a set.

Relations & Functions :-

Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the reals with itself (up to R x R x R). Definition of relation, pictorial diagrams, domain. co-domain and range of a relation. Function as a special kind of relation from  one set to another. Pictorial representation a function, domain, co-domain & range of a function.

Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions. Sets and their Representations. Union, intersection and complements of sets, and their algebraic properties, Relations, equivalence relations, mappings, one- one, into and onto mappings, composition of mappings.

Principle of Mathematical Induction :-

Processes of the proof by induction. The principle of mathematical induction.

Permutations & Combinations :-

Fundamental principle of counting, Factorial n, Permutations and combinations, derivation of formulae and their connections, simple applications.

Complex Numbers :-

Complex numbers, Algebraic properties of complex numbers, Argand plane and polar representation of complex numbers, Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Modulus and Argument of a complex number, square root of a complex number. Cube roots of unity. triangle inequality

Linear Inequalities :-

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables- graphically. Absolute value, Inequality of means, Cauchy- Schwarz Inequality, Tehebychef’s Inequality.

Binomial Theorem :-

Statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications. Binomial Theorem for any index. Properties of Binomial Co-efficients, Simple applications for approximations.

Sequence and Series :-

Sequence and Series. Arithmetic. Geometric and Harmonic progressions (G.P.). General terms and sum to n terms of A.P., G.P. and HP. Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.), Relation between A.M., G.M. and H.M. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Special series. Sum to n terms of the special series. Arithmetic, Geometric Series, Exponential and Logarithmic series.

Elementary Number Theory :-

Peano’s Axioms, Principle of Induction: First Principle. Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function Test of Divisibility, Euclid’s algorithm, The Unique Factorisation Theorem, Congruence, Sum of divisors of a number. Euler’s totient function, Theorems of Fermat and Wilson.

Quadratic Equations :-

Quadratic equations in real and complex number system and their solutions. Relation between roots and co- efficient, nature of roots, formation of quadratic equations with given roots ; Symmetric functions of roots. equations reducible to quadratic equations-application to practical problems.

Matrices and Determinants :-

Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangle using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix. Test of consistency and solution of simultaneous linear equations using determinants and matrices.

Two-dimensional Geometry :-

Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, area of a triangle, condition for collinearity of three points, centroid and in-centre of a triangle, locus and its equation, translation of axes, slope of a parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three line distance of a point from a line, Equations of internal and external bisectors of angles between two lines, coordinate of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation the bisectors of the angles between a pair of lines , condition for the general second degree equation to represent a pair of Line, point of intersection and angle between two lines.

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and a c with the centre at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tang equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for  y = mx + c be a tangent and point(s) of tangency.

Trigonometric Functions :-

Positive and negative angles, Measuring angles in radians & in degrees and conversion from one measure to another. Define of trigonometric functions with the help of unit circle. Graphs of trigonometric functions. Expressing sin (x + y) and cos (x + y) in terms of sin x, sin y, cos x & cosy, Identities relate sin 2 x, cos 2 x, tan 2 x, sin 3 x , cos 3 x and tan 3 x. Solution of trigonometric equations, Proofs and simple applications of sine cosine formulae, Solution of triangles. Heights and Distances.

Inverse Trigonometric Functions :-

Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties inverse trigonometric functions.

Differential Calculus :-

Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple function Limits, Continuity and differentiability; Derivative, Geometrical interpretation of the derivative, Derivative of sum, different product and quotient of functions. Derivatives of polynomial and trigonometric functions, Derivative of composite function chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Exponential and logarithmic function and their derivatives. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second c derivatives. Rolle’s and Lagrange’s Mean Value Theorems and their geometric interpretations.

Applications of Derivatives :-

Applications of derivatives: rate of change, increasing decreasing functions, tangents & normal, approximation of maxima and minima.

Integral Calculus :-

Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic function Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Definite integrals limit of a sum. Fundamental Theorem of Calculus. Basic Properties of definite integrals and evaluation of definite integer Applications of definite integrals in finding the area under simple curves, especially lines, areas of circles/Parabolas / ellipse area between the two curves.

Differential Equations :-

Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given , Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation.

Vectors :-

Vectors and scalars, magnitude and direction of a vector. Direction cosines / ratios of vectors. Types of vectors (equal, un zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (d product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

Three-dimensional Geometry :-

Coordinates of a point in space, distance between two points; Section formula, Direction cosines / ratios of a line joining t points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian a vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from plane. Scalar and vector triple product. Application of vectors to plane geometry. Equation of a sphere, its centre and radii  Diameter form of the equation of a sphere.

Statistics :-

Calculation of Mean, median and mode of grouped and ungrouped data. Measures of dispersion; mean deviation, variances and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances.

Probability :-

Random experiments: outcomes, sample spaces. Events: occurrence of events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ & ‘or’ events., Multiplication theorem on probability. Condition probability, independent events, Baye’s theorem, Random variable and its probability distribution, Binomial and Poisson distributions and their properties.

Linear Algebra :-

Examples of vector spaces, vector spaces and subspace, independence in vector spaces, existence of a Basis, the row a column spaces of a matrix, sum and intersection of subspaces. Linear Transformations and Matrices, Kernel, Image, and Isomorphism, change of bases, Similarity, Rank and Nullity. In Product spaces, orthonormal sets and the Gram- Schmidt Process, the Method of Least Squares.

Basic theory of Eigen vector and Eigenvalues, algebraic and geometric multiplicity of eigen value, diagonalization of matrices, application to system linear differential equations.Generalized Inverses of matrices, Moore-Penrose generalized inverse. Real quadratic form reduction and classification of quadratic forms, index and signature, triangular reduction of a pair of forms, singular value decomposition, extrema of quadratic forms. Jordan canonical form, vector and matrix decomposition.

Analysis :-

Monotone functions and functions of bounded variation. Real valued functions, continuous functions, Absolute continuity functions, standard properties. Uniform continuity, sequence of functions, uniform convergence, power series and radius convergence. Riemann-Stieltjes integration, standard properties, multiple integrals and their evaluation by repeat integration, change of variable in multiple integration. Uniform convergence in improper integrals, differentiation under 1 sign of integral – Leibnitz rule.

Dirichlet integral, Liouville’s extension. Introduction to n-dimensional Euclidean space, open and closed intervals (rectangle compact sets. Bolzano-Weierstrass theorem, Heine-Borel theorem. Maxima-minima of functions of several variable constrained maxima-minima of functions. Analytic function, Cauchy-Riemann equations, singularities, Statement of Cau theorem and of Cauchy integral formula with applications, Residue and contour integration. Fourier and Laplace transform Mellin’s inversion theorem.

  • Educational Psychology :
  • Concept, scope and functions of educational psychology.
  • Physical, cognitive, social, emotional and moral developmental characteristics of adolescent learner and its implication for teaching-learning.
  • Behavioural, cognitive and constructivist principles of learning and its implication for senior secondary students.
  • Concept of mental health & adjustment and adjustment mechanism.
  • Emotional intelligence and its implication in teaching learning.
  • Padagogy and Teaching Learning Material (Instructional Strategies for Adolescent Learner) :
  • Communication skills and its use.
  • Teaching models- advance organizer, concept attainment, information processing, inquiry training.
  • Preparation and use of teaching-learning material during teaching.
  • Cooperative learning.
  • General :
  • General Awareness including Questions related to Haryana.
  • General Mental Ability including Basic numeracy & data interpretation.
  • Logical Reasoning & Analytical Ability.
  • Decision making & problem solving.
HPSC PGT Exam Syllabus Download :- 




HPSC PGT Exam Application Fees : –
  • General Category (Male) Fees : Rs 1000 /- only
  • General (Female of Haryana Resident ) Category Fees : Rs 250 /- only
  • SC / BC / EWS Category (Male / Female) Fees : Rs 250 / – only. 
  • PwD ( Person with Disability) with 40 % Disabilities : No Application Fee
How to Apply Online for HPSC PGT 2023 ?

The intrested candidates can apply for PGT post by filling an Online Application from within the application window. Folow the steps given to apply for HPSC PGT 2023.

Step – 1 : Visit the official website of HPSC. i.e.  https://hpsc.gov.in

Step – 2 : Fill in all the important fields in the application form.

Step – 3 : Attach the required documents and recent passport size photograph in the required format.

Step – 4 : Pay the Application fee.

Step – 5 : Verify the details and in the application form and click on the ubmit button.

Step – 6 : Download and take a printout of the application from for futuree reference.

HPSC PGT Admit Card 2023

The admit card for HPSC PGT 2023 Will be released by the organizing body on the official website. The candidates can refer to the steps given below to download their HPSC PGT Admit Card 2023.

Step – 1 : Visit the official website of HPSC. i.e https://hpsc.gov.in

Step – 2 : Check the page and click on the link that says to download the HPSC PGT Admit card.

Step – 3 : After viewing your admit card , verify all the details given on the admit card . In case of any discrepancies , contact the higher authorities of the HPSC Commission immediately.

Step – 4 : Click on the prompt ” Click to generate e-admitcard”.

Step – 5 : Download the admit card PDF and take a Print out of it.

HPSC PGT Result  2023 :-

The Haryana Staff Seection Commission (HPSC) releases the Result 2023 after the conclusion of the exam on the official ebsite of the HPSC Commission. Candidates can access theire results by logging into the commissions official website. 

  • Login to the official website of the Commission i.e  https://hpsc.gov.in
  • From the notifications panel , seach for “HPSC PGT Result 2023” link . Click on it. 
  • Download the PGT results and the merit list in PDF Format onto your device. Seach for your HPSC Registration Number in the merit list.
  • If your name appears on the screen , that would mean that you are qualified for the exam.
  • Save it for future refrences.

Join the HPSC PGT Exam (Mathematics) Course  :- 

Download the Mathematical Academy App from PlayStore : 


  • Registration Open New Batch
  • Complete Course Fees : 999 Rs (Only) /- & Include Test Series.
  • Enroll Now
  • Live Class
  • Backup ( Complete Recorded Lecture ) Available in Mathematical Academy App.
  • Printed Assignment + Video Solution
  • Test Series ( Topic Wise + Full Length Test ) + Solution
  • Watch the Video Offline without Internet.
  • Watch the Video Unlimited Time .
  • If you not Attemt the live class then end the live class Immediately recorded Lecture Available in App.
  • Laptop and PC version Available .
  • Same login Id and password put the website.
  • Live Class PDF Notes Available in App(Daily).
  • Website : www.mathematicalacademy.com

FAQs : – 

Question : Do I need to download my HPSC PGT Exam Application form ?

Answer : Yes , for the future reference , the candidates must keep the HPSC PGT Application form Download.

Question : Where can I fill the HPSC PGT Application form ?

Answer : You can fill the HPSC PGT Application form on the official website of HPSC . You need a computer system with a working and stable          Internet Connection.

Question : My Photograph is not clearly visible in the HPSC PGT Hall ticket . Is that okey ?

Answer : No, the HPSC PGT Hall Ticket must have your photograph on it. If it does not , make sure that you intimate the higher authorities about it  immediately.

Question : I have lost my pasword for the HPSC PGT login ID. What can I do ?

Answer : You can get your password by changing it. Click on the Forgot Password button available at the bottom of the login page and reset    accordingly.

Question : What is HPSC PGT Teacher Salary ?

Answer : The HPSC PGT Teacher Salary is 47600 Rs – 151100 Rs.

Question : What is the selection Process for HPSC PGT Teacher Recruitment 2023 ?

Answer : Screening Test , Subject Knowledge Test & Interview.

Question : Is there any negative marking for the Wrong Answers ?

Answer : There is 1 / 4 negative marking for the wrong answers.

Question : When willl be HPSC PGT Teacher Exam Held ? 

Answer : HPSC PGT Teacher Exam will be held soon.

Question : Is B.Ed compulsory for HPSC PGT Teacher Exam  ?

Answer : Yes 

Question : Is there any Interview in HPSC PGT Teacher Exam ?

Answer : Yes

Thank You !

Founder and Onwer of Mathematical Academy .


Leave a Comment